# How do you factor #3a^2 + 14a − 24#?

##### 2 Answers

#### Explanation:

We know there must be a

You then use trial and error to find a the other numbers which multiply together to make

(3a - 4)(a + 6)

#### Explanation:

Use the systematic, non-guessing new AC Method (Socratic Search).

Converted trinomial

p' and q' have opposite signs because ac < 0.

Factor pairs of (ac = -72) --> (-3,24) (-4, 18). This sum is 14 = b. Then,

p' = -4 and q' = 18.

Back to trinomial y,

Factored form: